13445120 has 96 divisors (see below), whose sum is σ = 35085960. Its totient is φ = 4915200.

The previous prime is 13445119. The next prime is 13445137. The reversal of 13445120 is 2154431.

It can be written as a sum of positive squares in 4 ways, for example, as 11723776 + 1721344 = 3424^2 + 1312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13445092 and 13445101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133070 + ... + 133170.

Almost surely, 2^13445120 is an apocalyptic number.

13445120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542980).

13445120 is an abundant number, since it is smaller than the sum of its proper divisors (21640840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13445120 is a wasteful number, since it uses less digits than its factorization.

13445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 13445120 is about 3666.7587867216. The cubic root of 13445120 is about 237.7870656271.

Adding to 13445120 its reverse (2154431), we get a palindrome (15599551).

It can be divided in two parts, 134 and 45120, that added together give a palindrome (45254).

The spelling of 13445120 in words is "thirteen million, four hundred forty-five thousand, one hundred twenty".